BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

What is the positive difference between the sum of the

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Sat Nov 23, 2019 7:41 am
Gmat_mission wrote:What is the positive difference between the sum of the squares of the first 4 positive integers and the sum of the prime numbers between the first square and fourth square?

A) 11
B) 12
C) 13
D) 14
E) 15
Sum of the squares of the first 4 positive integers = 1² + 2² + 3² + 4²
= 1 + 4 + 9 + 16
= 30

Prime numbers between 1 and 16 are 2, 3, 5, 7, 11 and 13.
Sum = 2 + 3 + 5 + 7 + 11 + 13 = 41

Positive difference = 41 - 30 = 11

Answer: A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8086
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

by Scott@TargetTestPrep » Thu Dec 12, 2019 6:38 pm
Gmat_mission wrote:What is the positive difference between the sum of the squares of the first 4 positive integers and the sum of the prime numbers between the first square and fourth square?

A) 11
B) 12
C) 13
D) 14
E) 15

[spoiler]OA=A[/spoiler]

Source: EMPOWERgmat
The sum of the squares of the first 4 positive integers is 1 + 4 + 9 + 16 = 30.

The sum of the primes between 1 and 16 is 2 + 3 + 5 + 7 + 11 + 13 = 41.

Therefore, the positive difference is 41 - 30 = 11.

Answer: A

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pm
Location: Palo Alto, CA
Thanked: 2867 times
Followed by:511 members
GMAT Score:800

by [email protected] » Fri Dec 13, 2019 10:45 am
Hi Gmat_mission,

Certain Quant questions on Test Day are just about doing organized work and making sure that you're following the 'instructions' in the prompt.

Here, we're asked to compare two sums:
1) The sum of the squares of the first 4 positive integers
2) The sum of the prime numbers between the first square and fourth square

For the first sum, we need the SQUARES of the first four positive integers. That sum is....

1^2 + 2^2 + 3^2 + 4^2 = 1 + 4 + 9 + 16 = 30

For the second sum, we need the PRIMES between 1 and 16. That sum is...

2 + 3 + 5 + 7 + 11 + 13 = 41

The positive difference between those sums is 41 - 30 = 11

Final Answer: A

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image
Top
Post new topic Post Reply
• Page 1 of 1